A=4-7 hypernuclei based on interactions from chiral effective field theory

We investigate the existence of bound states in systems with A=4-7 baryons using the Jacobi NCSM approach in combination with chiral NN and N interactions. We find three shallow bound states for the NNN system (with (J^π ,T)=(1^+,0) , (0^+,1) and (1^+,1) ) with quite similar binding energies. The ^5_H(1/2^+,1/2) and ^7_H(1/2^+,3/2) hypernuclei are also clearly bound with respect to the thresholds ^4He + and ^6He + , respectively. The binding of all these systems is predominantly due to the attraction of the chiral N potential in the ^33S_1 channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small.